The exponential function that represents the future value of the investment is $300(1.04)^t.
What is the exponential function?
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$300(1.04)^t.
Where t represents number of years
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Using positive and negative integers, find four pairs of integers with a sum of 5.
Answer:
-8, 13
-3, 8
6, -1
10, - 5
Step-by-step explanation:
In order to qualify for letter sorting l, applicants are given a speed-reading test. The scores are normally distributed, with a mean of 80 and a standard deviation of 8. If only the top 15% of the applicants are selected, find the score needed to qualify
Using the normal distribution, it is found that the score needed to qualify is of 88.32.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 80[/tex] and [tex]\sigma = 8[/tex].
The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.04 = \frac{X - 80}{8}[/tex]
X - 80 = 1.04(8)
X = 88.32.
The score needed to qualify is of 88.32.
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I don't get this I need help?
Answer: 864
Step-by-step explanation:
The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.
32° x x
Please help
180°-32°=2x (angles in a triangle always sum up to 180)
2x= 148°
x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)
the westside bakery uses 320 pounds of flour to make 1000 loaves of bread each loaf contains the same amount of flour.How many pounds of flour are used in each loaf of bread?
Answer:
1000/320=100/32=25/8 pounds of flour per piece of bread
Step-by-step explanation:
[tex]if \: each \: loaf \: contains \: the \: same \: amount \: of \: flour \: then \: each \: loaf \: contains \\ = \frac{1000}{320} \\ = 3.125[/tex]
therefore each loaf contains 3.125 pounds
what is the area of the figure below
135in.^2
Step-by-step explanation:
split into 2 shapes :
Triangle
A=bxh/2
= 5 x 6/2
= 15
Rectangle
A=bxh
= 20x6
= 120
120+15=135in.^2
Hope this helps!
Jill went shopping from 3:45 pm to 5:00 pm for how long did she shop
Answer:
total 1 hour 15 mins
Step-by-step explanation:
3:45 - 5:00
lets count one by one
3:45 - 4:00 = 15 mins
4:00 - 5:00 = 1 hour
total 1 hour 15 mins
Three baseball players are playing catch. Rosanne is 6.4 meters south of Lillian and 5.2
meters west of Jenna. How far does Lillian need to throw the ball to get it to Jenna? If
necessary, round to the nearest tenth.
meters
Submit
Answer:
8.2 meters
Step-by-step explanation:
This problem will form a Right angle triangle.
Where;
6.4 m and 5.2 m are the adjacent and opposite sides of the triangle while the distance that Lillian needs to throw the ball to get it to Jenna is the hypotenuse of the right angle triangle. Thus;
h = √(6.4² + 5.2²)
h = √68
h = 8.2
Kara is mixing paint. Each batch has twice as much blue paint as well as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.
(b, y) twice as much blue as yellow
(2, 1)
(4, 2)
(6, 3)
help please if you can thanks!
Answer:
The last option 8.5
Step-by-step explanation:
hope it helps
Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,5) and (-7, -1)
Distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 +(y_2-y_1)^2}[/tex]
Now replace the variables with the numbers (When you replace the numbers, it doesn't matter which is the first variable and second variable. Just do whatever is easiest).
[tex]d = \sqrt{(-1-(-7))^2+(5-(-1))^2}\\d = \sqrt{(-1+7)^2+(5+1)^2}\\d = \sqrt{6^2+6^2}\\d = \sqrt{36+36}\\d = \sqrt{72} \\d = 8.5[/tex]
Thus, the distance between the two points is 8.5
How much tax will be paid on an item with a 7.5% tax rate that is $1425.89? Round to the nearest cent and do not include a dollar sign
Answer:
1,616.00
Step-by-step explanation:
sorry if this is wrong
The tax on the item costs $1425.89 is 106.94175 dollars.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Given that, tax rate =7.5% and the cost of an item = $1425.89.
Here, tax = 7.5% of 1425.89
= 7.5/100 ×1425.89
= 0.075×1425.89
= $106.94175
Therefore, the tax on the item costs $1425.89 is 106.94175 dollars.
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An IV solution of 320 mL at a drip rate of 25 gtt/min using a tubing factor of 10 gtt/mL has been ordered to be initiated at 1145. Calculate the infusion time. (Round your answer to the nearest tenth of an hour.)
The infusion time for the IV solution that was prescribed = 128 mins.
Calculation of IV infusion timeTo calculate the infusion time the formula for IV drip rate is used which is;
Drip rate = volume/time × Drop factor
Drip rate = 25gtt/min
Volume = 320mL
Drop factor= 10 gtt/mL
Time = ?
From the formula above, make time the subject of formula. That is,
Time = vol × drop factor/drip rate
= 320 × 10/25
= 3200/25
= 128 mins
Therefore, the infusion time for the IV solution that was prescribed = 128 mins
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can someone explain this pls
brainliest
Which object would weigh closest to 1 ton?
Answer:
The answer is 73 billion bars of gold
I believe it would be a car
(4.5 x 10^9) + (4.5 x 10^-4)
This should be the correct answer,
4.5×10^9x + 0.00045x
Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .
A ten sided die is rolled.
P (3 or 5)
Answer: 1/5 or 20%
Step by Step Explanation:
Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.
Formula: Number of outcomes divided by Favorable Outcomes
Two pens and one eraser cost $35 and three pens and four erasers cost $65. Find the cost of the pencil and eraser separately.
Answer:
Pencil is $15 and erasers are $5
the function f(x) is defined by f(x)=3x. the inverse of f(x) is g(x) what is g(12)
Answer:
answer is 4
have a nice day
Solve for x to the nearest tenth!
Step-by-step explanation:
REFER TO THE ATTACHMENT!!
HOPE IT WILL HELP YOU
Answer:
my answer is 11.4
Step-by-step explanation:
solve for the first triangle which has both sides then solve the other
billy took a 3/4 mile hike in the woods. if the stopped every 1/4 of a mile to drink from his water bottle, how many times did the top?
What is 10÷2/3?
A.) 1/15
B.) 3/20
C.) 20/3
D.) 15
Let's first write out 10 ÷ 2/3:
[tex]\frac{10}{\frac{2}{3} }[/tex]
When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:
[tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]
Thus the answer is 15
Hope that helps!
If bryan ate 3\8 of a pizza, and d'marjay ate 3\6 of the same pizza, who ate more pizza?
Answer:
d'marjay ate more pizza , because if bryan ate 3/8 , then d'marjay ate the rest of the pizza , so she could've eaten more
Answer: 3/6
Step-by-step explanation: If the "top number" of multiple fractions is the same, then the smaller "bottom number" is the larger one.
the picture below is my question please hurry
Answer:
B) 70 °
Step-by-step explanation:
Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:
m ∠ AOB = 2 · x (1)
Where x is the measure of angle BOC, in degrees.
And the measure of the angle AOC is: ( x= 70°)
∠ AOC = 70°
What is the answer to v/-6+79<92
Answer:
v > - 78
Step-by-step explanation:
Version 1.
v
----------- < 92
-6 + 79
v
------------ < 92
73
v
------------ < 92(73)
73(73)
v < 6716
-------------------------------------
Version 2
v
------------ + 79 < 92
-6 -79 -79
v
(-) ------------ < 13(6)
6(6)
-v < 78
÷-1 ÷-1
v > -78
I hope this helps!
What is the third quartile of the 8, 9, 12, 14, 15?
Answer:
14.5
Step-by-step explanation:
Case 2
Q3 =
[tex]( \frac{3}{4} (n + 1 ) - \frac{1}{2} )th[/tex]
and
[tex]( \frac{3}{4} (n + 1) + \frac{1}{2} )th[/tex]
[tex] \frac{3}{4} (5 + 1) - \frac{1}{2} = 4th \: = 14[/tex]
[tex] \frac{3}{4} (5 + 1) + \frac{1}{2} = 5th = 15[/tex]
[tex] \frac{14 + 15}{2} = 14.5[/tex]
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. what is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.04 0.5160 0.21 0.5832 0.37 0.6443 0.38 0.6481 0.39 0.6517 1.00 0.8413 2% 17% 58% 65%
Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.
The z-score is given as
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be
For x = 0.37, then we have
[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]
For x = 0.39, then we have
[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]
Then the probability will be
[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]
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https://brainly.com/question/12421652
Answer:
B. 17%
Step-by-step explanation:
Got it from a quizlet with very many five star reviews
The table below shows the number of people that attended a family reunion each year. (Need help ASAP)
The table of attendees in the family reunion is a linear regression
The equation of the line of best fit is y = 4.9x + 112186 attendees are expected in the 15th yearHow to draw the scatter plot?To do this, we represent the years on the x-axis and the attendees on the y-axis
See attachment for the scatter plot
The equation of the line of best fit?The scatter plot passes through the points
(0, 112) and (5, 136.5)
Start by calculating the slope, m using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (136.5 - 112)/(5 - 0)
m = 4.9
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 4.9 * (x - 0) + 112
y = 4.9x + 112
Hence, the equation of the line of best fit is y = 4.9x + 112
The attendees in the 15th yearThis means that x = 15.
So, we have:
y = 4.9 * 15 + 112
Evaluate
y = 186
Hence, 186 attendees are expected in the 15th year
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What is the value of y in the equation 5y - 3y + 1 = -4y + 13?
Answer:
y = 2
Step-by-step explanation:
5y - 3y + 1 = -4y + 13
We only have addition and subtraction so move the terms on the other side of the equal sign with changed sign. +1 will be -1 and -4y will be +4y
terms with y = terms without y
5y -3y +4y = 13 -1
6y = 12
y = 12/6
y = 2
given ab and ac are lines that are tangent to the circle with m
Answer:
B
Step-by-step explanation:
the opposite angles of the quadrilateral ABDC are supplementary , that is
∠ BDC + 40° = 180° ( subtract 40° from both sides )
∠ BDC = 140°